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Finding the Fourth Proportional to 10,706.34, 14,765.22 and 6,727.86

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Solution

The fourth proportional to 10,706.34, 14,765.22 and 6,727.86 is: 9,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.34 : 14,765.22 = 6,727.86 : x
  2. Step 2: Convert to fraction form
    10,706.34/14,765.22 = 6,727.86/x
  3. Step 3: Cross multiply
    10,706.34x = 14,765.22 × 6,727.86
  4. Step 4: Simplify right side
    10,706.34x = 99,338,333.03
  5. Step 5: Solve for x
    x = 99,338,333.03/10,706.34
  6. Step 6: Final answer
    x = 9,278.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.